121732080044400 has 960 divisors, whose sum is σ = 506006653501440. Its totient is φ = 27222210432000.

The previous prime is 121732080044381. The next prime is 121732080044411. The reversal of 121732080044400 is 4440080237121.

121732080044400 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 3 + 208 + 0 + 0 + 4 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 646210225 + ... + 646398575.

It is an arithmetic number, because the mean of its divisors is an integer number (527090264064).

Almost surely, 2^{121732080044400} is an apocalyptic number.

121732080044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121732080044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253003326750720).

121732080044400 is an abundant number, since it is smaller than the sum of its proper divisors (384274573457040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121732080044400 is a wasteful number, since it uses less digits than its factorization.

121732080044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188571 (or 188554 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 121732080044400 in words is "one hundred twenty-one trillion, seven hundred thirty-two billion, eighty million, forty-four thousand, four hundred".